Multiprojective witness sets and a trace test
Keyword(s):
AbstractIn the field of numerical algebraic geometry, positive-dimensional solution sets of systems of polynomial equations are described by witness sets. In this paper, we define multiprojective witness sets which encode the multidegree information of an irreducible multiprojective variety. Our main results generalise the regeneration solving procedure, a trace test, and numerical irreducible decomposition to the multiprojective case. Examples are included to demonstrate this new approach.
2018 ◽
Vol 17
(10)
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pp. 1850195
2011 ◽
Vol 14
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pp. 155-172
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2014 ◽
Vol 13
(06)
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pp. 1450013
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2008 ◽
Vol 54
(5)
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pp. 2303-2316
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2009 ◽
Vol 52
(1)
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pp. 39-52
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